The polynomial method refers to the application of polynomials to combinatorial
problems. The method is particularly effective for Galois geometries and a number
of problems and conjectures have been solved using the polynomial method. In many
cases the polynomial approach is the only method which we know of that works. In this
article, the various polynomial techniques that have been applied to Galois geometries
are detailed and, to demonstrate how to apply these techniques, some of the problems
referred to above are resolved.

Subject(s):

Àrees temàtiques de la UPC::Matemàtiques i estadística::ÀlgebraÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de cossos i polinomisAlgebraPolynomialsÀlgebra abstractaGalois, Teoria de